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daser333 [38]
3 years ago
13

What value of x makes the equation 3(x-6) -8 = -2+5(2x+1

Mathematics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

-29/7 =x

Step-by-step explanation:

3(x-6) -8 = -2+5(2x+1)

Distribute

3x-18-8 = -2 +10x+5

Combine like terms

3x-26 = 10x+3

Subtract 3x from each side

3x-3x-26 = 10x-3x+3

-26 = 7x+3

Subtract 3 from each

-26-3 = 7x +3-3

-29 = 7x

Divide each side by 7

-29/7 = 7x/7

-29/7 =x

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The variable z is directly proportional to x, and inversely proportional to y. When x is 14 and y is 10, z has the value 26.6.
AysviL [449]

Answer:

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in one variable will cause a corresponding increase in the other variable.

If two variables are inversely proportional, it means that an increase in one variable will cause a corresponding decrease in the other variable.

The variable z is directly proportional to x, and inversely proportional to y. If we introduce a constant k, the equation would be

z = kx/y

When x is 14 and y is 10, z has the value 26.6. It means that

26.6 = 14k/10

Cross multiplying, it becomes

26.6 × 10 = 14k

266 = 14k

k = 266/14

k = 19

The equation becomes

z = 19x/y

When x = 24, and y = 15, the value of z would be

z = 19 × 24/15

z = 30.4

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4 years ago
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Answer:

false

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3 years ago
What is the ratio of 3/20
Sveta_85 [38]
The ratio of 3/20 is 3:20
5 0
3 years ago
Suppose a person wants to travel d miles at a constant speed of left parenthesis 60 plus x right parenthesis(60+x) ​mi/hr, where
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A) We can use the linear approximation to estimate the amount of time it takes. We're given that the linear approximation to t at the point x = 0 is t(x) ≈ L(x) = d(1–(x/60)). If it drives 84 miles at 62 mi/hr, we'll plug 84 in for d and 62 – 60 = 2 in for x to approximate the amount of time it takes.

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4020

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